You can hide each item in the left menu (1.). Additionally, you can also hide all four tabs on the My profile page (2.).
In the screenshot below, you can see UI elements of the My desk module. Their names match the names of the menu items and tabs on the screenshot above.
Page url: http://devnet.kentico.com/docs/devguide/index.html?ui_personalization_cms_desk_my_desk_tab.htm